BAXTER, Erik (2014). On the existence of topological hairy black holes in SU(N) EYM theory with a negative cosmological constant. General Relativity and Gravitation, 47 (1), p. 1829.
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We investigate the existence of black hole solutions of four dimensional su(N) EYM theory with a negative cosmological constant. Our analysis differs from previous works in that we generalise the field equations to certain non-spherically symmetric spacetimes. We prove the existence of non-trivial solutions for any integer N, with N−1 gauge degrees of freedom. Specifically, we prove two results: existence of solutions for fixed values of the initial parameters and as |Λ|→∞, and existence of solutions for any Λ<0 in some neighbourhood of existing trivial solutions. In both cases we can prove the existence of `nodeless' solutions, i.e. such that all gauge field functions have no zeroes; this fact is of interest as we anticipate that some of them may be stable.
|Research Institute, Centre or Group:||Materials and Engineering Research Institute > Materials Analysis and Research Services|
|Depositing User:||Erik Baxter|
|Date Deposited:||19 Jan 2016 10:01|
|Last Modified:||18 Jan 2017 20:31|
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